Answer:
x=3
(Do not write a character less than what I have written; 3 is not the answer but x=3 is the answer.)
Step-by-step explanation:
Parabolas have a axis of symmetry; this is the line they are symmetrical about.
The line of symmetry will always go through the vertex.
Since your question says it is a function the line will be vertical and will be of the form x=a number.
The number is determine by the x-coordinate of the vertex.
I know the vertex of your problem is (3,-1) because it says that is the minimum point of the graph. The vertex of a parabola will always be it's maximum (this parabola is open down) or minimum (this parabola is open up).
So the axis of symmetry is just:
x=3.
You must actually write x=3.
3 is not the answer.
x=3 is the answer.
Little note down here:
(If it had said the parabola wasn't a function, the axis of symmetry would have been horizontal and therefore of the form y=a number where the number was the y-coordinate of the vertex.)
Listing out a few elements of the set of perfect squares, we get the following values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...}
we can stop there because 82 is between 81 and 100
So if x^2 = 82, then x^2 is between 81 and 100 meaning
81 < x^2 < 100
apply the square root to all sides of the compound inequality and we get
9 < x < 10
So the square root of 81 is between 9 and 10
Answer: the value falls between 9 and 10
The first two terms are given,
and
.
The third term, according to the formula, is
and the next two terms are
